You asked for "100% without a doubt" factual proof.
Like rufretic said, your original question implied someone with very little experience regarding Ball Pythons or snakes in general. The question was over the top in regards to being impossible to answer as there is no "100%", so people went out of their way trying to explain why, and just how SMALL of a danger a Ball Python would be to a child. Saying that children that age are more danger to a Ball Python, then the pythons are to them, was simply meant to raise awareness to that point, with someone I assumed had little experience.
Wishing you and your snakes best of luck.